Malise picked blueberries. She used [tex] \frac{1}{8} [/tex]of blueberries. to make blueberry pancakes and she used [tex] \frac{1}{3} [/tex]of the blueberries to make a blueberry pie. She would like to make blueberry jam with the remaining blueberries. What fraction of blueberries. are left to make blueberry jam

Respuesta :

Explanation:

Malise has 1 something (may be a pound, any unit) and she uses 1/8 to make pancakes and 1/3 to make a pie. To see what fraction of blueberries are left we have to substract 1/8 and 1/3 from 1:

[tex]1-\frac{1}{8}-\frac{1}{3}[/tex]

We have to find the lower common denominator. Since 8has factors 2, 2, 2 and 3 has itself as a factor (and of course 1 for both) the LCD is the product of these two: 8 x 3 = 24.

Now we have to write it and in the numerator, we have to write each numerator multiplied by the quotient between the LCD and each denominator:

[tex]\frac{1\cdot\frac{24}{1}-1\cdot\frac{24}{8}-1\cdot\frac{24}{3}}{24}=\frac{24-3-8}{24}=\frac{13}{24}[/tex]

Answer:

The fraction of blueberries left is 13/24